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Finding the Fourth Proportional to 8,425.28, 11,628 and 6,075.20

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Solution

The fourth proportional to 8,425.28, 11,628 and 6,075.20 is: 8,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.28 : 11,628 = 6,075.20 : x
  2. Step 2: Convert to fraction form
    8,425.28/11,628 = 6,075.20/x
  3. Step 3: Cross multiply
    8,425.28x = 11,628 × 6,075.20
  4. Step 4: Simplify right side
    8,425.28x = 70,642,425.60
  5. Step 5: Solve for x
    x = 70,642,425.60/8,425.28
  6. Step 6: Final answer
    x = 8,384.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.